How to Find GCF of 5607/761, 4957/2354?

GCF of 5607/761, 4957/2354

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5607/761, 4957/2354 i.e 1/1791394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5607/761, 4957/2354.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5607/761,4957/2354?

Given fractions are 5607/761,4957/2354

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5607/761,4957/2354, numerators are 5607,4957

Denominators are 761,2354

The GCF of 5607,4957 is 1 .

LCM of 761,2354 is 1791394.

The greatest common factor of 5607/761,4957/2354 = [GCF of 5607,4957]/[LCM of 761,2354]= 1/1791394

Therefore, the GCF of 5607/761,4957/2354 is 1/1791394.

Greatest Common Factor of 5607,4957

To find the highest common factor of 5607,4957, we have to find the factors of both numbers and list the highest common factor.

The factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607

The factors of 4957 are 1, 4957

The HCF of 5607,4957 is 1.

Lets's calculate GCF of 5607,4957

Greatest Common Factor (GCF) of 5607,4957 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5607,4957 By Matching Biggest Common Factor Method

Now, list down the factors of 5607

1,3,7,9,21,63,89,267,623,801,1869,5607

Now, list down the factors of 4957

1,4957

Greatest Common Factor

We found the factors 5607,4957 . The biggest common factor number is the GCF number.
So the greatest common factor 5607,4957 is 1.

Lets's calculate LCM of 761,2354

Lowest Common Multiple of 761,2354 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1791394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791394

Therefore, the GCF of Fractions 5607/761,4957/2354 is 1/1791394

Least Common Multiple of 761,2354 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 761,2354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,2354) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(761,2354) x common factors =1 x 1 = 1

LCM(761,2354) = ( 761 × 2354 ) / 1

LCM(761,2354) = 1791394 / 1

LCM(761,2354) = 1791394

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FAQs on GCF of Fractions of 5607/761, 4957/2354

1. What is the HCF of 5607,4957?

The HCF of 5607,4957 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5607/761, 4957/2354?

Answer: GCF of Numerators as per given numbers 5607/761, 4957/2354 is

GCF of Numerators i.e. for 5607,4957 is 1

LCM of denominators i.e. for 761,2354 is 1791394.

Thus, GCF of Fractions is 1/1791394.Finally, GCF of Fractions for 5607/761, 4957/2354 is 1/1791394.